GATE Practice Question and Answer

Q: What is the difference between the compound interests on Rs. 5000 for 11⁄2 years at 4% per annum compounded yearly and half-yearly? 1369 0

  • 1
    Rs. 1.80
    Correct
    Wrong
  • 2
    Rs. 2.04
    Correct
    Wrong
  • 3
    Rs. 3.18
    Correct
    Wrong
  • 4
    Rs. 4.15
    Correct
    Wrong
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Answer : 2. "Rs. 2.04"
Explanation :

Answer: B) Rs. 2.04 Explanation: Compound Interest for 1 1⁄2 years when interest is compounded yearly = Rs.(5304 - 5000) Amount after 11⁄2 years when interest is compounded half-yearly Compound Interest for 1 1⁄2 years when interest is compounded half-yearly = Rs.(5306.04 - 5000) Difference in the compound interests = (5306.04 - 5000) - (5304 - 5000)= 5306.04 - 5304 = Rs. 2.04

Q: A duster is of dimension 5x5x7 all in cms,  is sinked into a cylindrical vessel of radius 5 cm and height 10 cm. After insertion the level of the water is inccresed by 2.14 cm. Then by what percentage the part of the duster is above the layer ? 1369 0

  • 1
    96 %
    Correct
    Wrong
  • 2
    4 %
    Correct
    Wrong
  • 3
    97 %
    Correct
    Wrong
  • 4
    3 %
    Correct
    Wrong
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Answer : 2. "4 %"
Explanation :

Answer: B) 4 % Explanation: Imension of the duster is assumed as 5x5x7 cm3 Volume of the duster below the water layer= volume of water increased= πxrxrxh = 3.14×52×2.14 ≈ 168 cm3 Total volume of the duster = 5×5×7 = 175 cm3 Percentage of the duster part below the layer = 168×100/175 = 96% Percentage of the duster part above the layer = 4%

Q: A,B,C,D,E,F,G and H are sitting around a circular table facing the centre but not necessarily in the same order. G sits third to the right of C. E is second to the right of G and 4th to the right of H. B is fourth to the right of C. D is not an immediate neighbour of E. A and C are immediate neighbours.  Which of the following is/are correct ? 1368 0

  • 1
    F is third to the left of B
    Correct
    Wrong
  • 2
    F is second to the right of B
    Correct
    Wrong
  • 3
    B is an immediate neighbour of D
    Correct
    Wrong
  • 4
    All of the above
    Correct
    Wrong
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Answer : 2. "F is second to the right of B"
Explanation :

Answer: B) F is second to the right of B Explanation: From the given information, the circular arrangement is Here F is second to the right of B and the remaning all are wrong.

Q: A goods truck travels from a place at a certain time and at fixed speed. After 6hrs another truck leaves the same place and move in same direction of uniform speed of 90kmph. The truck catches up the goods truck in 4hrs. Find the speed of the goods truck ? 1368 0

  • 1
    36 kmph
    Correct
    Wrong
  • 2
    32 kmph
    Correct
    Wrong
  • 3
    28 kmph
    Correct
    Wrong
  • 4
    34 kmph
    Correct
    Wrong
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Answer : 1. "36 kmph"
Explanation :

Answer: A) 36 kmph Explanation: Let the speed of goods truck be 'p' kmphDistance covered by goods truck in 10hrs (4+6) = Distance covered by other truck in 4 hrs. 10p = 4 x 90p = 36kmph.Therefore, the speed of the goods truck is p = 36 kmph.

Q: What is the conjugate base of H2O? 1367 0

  • 1
    NH3+
    Correct
    Wrong
  • 2
    OH-
    Correct
    Wrong
  • 3
    H2O
    Correct
    Wrong
  • 4
    All the above
    Correct
    Wrong
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Answer : 2. "OH-"
Explanation :

Answer: B) OH- Explanation: A conjugate acid, is a species formed by the reception of a proton (H+) by a base—in other words, it is a base with a hydrogen ion added to it. On the other hand, a conjugate base is what is left over after an acid has donated a proton during a chemical reaction. Hence, a conjugate base is a species formed by the removal of a proton from an acid. Because some acids are capable of releasing multiple protons, the conjugate base of an acid may itself be acidic. Represented as the following chemical reaction: Acid + Base ⇌ Conjugate Base + Conjugate Acid   The water molecule is the conjugate acid of the hydroxide ion after the latter received the hydrogen proton donated by ammonium. On the other hand, ammonia is the conjugate base for the acid ammonium after ammonium has donated a hydrogen ion towards the production of the water molecule. We can also refer to OH- as a conjugate base of H2O, since the water molecule donates a proton towards the production of NH+4 in the reverse reaction, which is the predominating process in nature due to the strength of the base NH3 over the hydroxide ion.

Q: Give the common name for the following compound CH32CH CH2 - Br 1366 0

  • 1
    Isobutyl bromide
    Correct
    Wrong
  • 2
    Methyl bromide
    Correct
    Wrong
  • 3
    Propyl bromide
    Correct
    Wrong
  • 4
    Butyl bromide
    Correct
    Wrong
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Answer : 1. "Isobutyl bromide"
Explanation :

Answer: A) Isobutyl bromide Explanation:

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Answer :
Explanation :

We know a proverb that An apple a day keeps the doctor away. To keep the doctor away from her, he gave seven apples, each apple a day.

Q: Grey Revolution is associated with 1365 0

  • 1
    Cotton
    Correct
    Wrong
  • 2
    Fruits
    Correct
    Wrong
  • 3
    Fertilizers
    Correct
    Wrong
  • 4
    Oil seeds
    Correct
    Wrong
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Answer : 3. "Fertilizers"
Explanation :

Answer: C) Fertilizers Explanation: Grey Revolution is associated with Fertilizers.   Cotton - Silver fiber Revolution   Fruits - Golden Revolution   Oil seeds - Yellow Revolution

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